Question

to get from home to his friend terrences house, cody would have to walk 3 miles due north. to get from home to his friend darrells house, cody would have to walk 4 miles due east. what is the straight - line distance between terrences house and darrells house? miles

Explanation:

Step1: Recognize right - triangle

The paths from Cody's home to Terrence's house (3 miles north) and from Cody's home to Darrell's house (4 miles east) form a right - triangle. The straight - line distance between Terrence's and Darrell's houses is the hypotenuse.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a = 3$ and $b = 4$. So, $c=\sqrt{3^{2}+4^{2}}$.

Step3: Calculate the value

$3^{2}=9$, $4^{2}=16$. Then $9 + 16=25$, and $\sqrt{25}=5$.

Answer:

5